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<p>The interface between a boring bar and its clamp housing has a major influence on the dynamic behaviour of internal turning tools. This paper presents and experimentally evaluates a compact multi-span Euler–Bernoulli model for a standard internal tool holder, in which the boring bar is represented by a free–pinned–pinned–free (F–P–P–F) beam. The model explicitly accounts for the two screw-contact stations and the remaining tail of the bar inside the holder, while keeping the formulation parameter-free and straightforward to implement. To address boundary-condition uncertainty, the proposed model is compared with a classical fixed–free cantilever approximation and with a free–spring–spring–free (F–S–S–F) elastic-support model based on screw-stiffness values reported in the literature. The experimental validation was performed for overhang ratios from <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L/D=3\)</EquationSource> </InlineEquation> to <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(L/D=5\)</EquationSource> </InlineEquation>. The F–P–P–F model reduced the mean Natural Frequency Difference (NFD) to approximately <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(7.72\%\)</EquationSource> </InlineEquation>, compared with <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(31.50\%\)</EquationSource> </InlineEquation> for the fixed–free cantilever approximation and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(12.00\%\)</EquationSource> </InlineEquation> for the elastic-support model. The results show that the proposed F–P–P–F formulation provides a practical balance between physical representativeness, low parameter dependence and computational simplicity. The remaining discrepancies are mainly attributed to clamp compliance, screw preload uncertainty, possible intermittent contact inside the holder and the idealization of the support conditions. The predicted natural frequencies are finally used as inputs for a theoretical stability-lobe analysis of the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(L/D=5\)</EquationSource> </InlineEquation> case.</p>

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Dynamic modeling of a standard internal tool holder

  • 期刊论文

  • 发表日期：

    2026年6月23日

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  • Wallyson Thomas Alves da Silva,
  • Rouben Rostamian,
  • Fabio Kuranaka,
  • Marcus Vinicius Begossi,
  • Alex Sandro Payão dos Santos,
  • Anselmo Eduardo Diniz,
  • Amauri Hassui,
  • Jozef Peterka

摘要

The interface between a boring bar and its clamp housing has a major influence on the dynamic behaviour of internal turning tools. This paper presents and experimentally evaluates a compact multi-span Euler–Bernoulli model for a standard internal tool holder, in which the boring bar is represented by a free–pinned–pinned–free (F–P–P–F) beam. The model explicitly accounts for the two screw-contact stations and the remaining tail of the bar inside the holder, while keeping the formulation parameter-free and straightforward to implement. To address boundary-condition uncertainty, the proposed model is compared with a classical fixed–free cantilever approximation and with a free–spring–spring–free (F–S–S–F) elastic-support model based on screw-stiffness values reported in the literature. The experimental validation was performed for overhang ratios from \(L/D=3\) to \(L/D=5\) . The F–P–P–F model reduced the mean Natural Frequency Difference (NFD) to approximately \(7.72\%\) , compared with \(31.50\%\) for the fixed–free cantilever approximation and \(12.00\%\) for the elastic-support model. The results show that the proposed F–P–P–F formulation provides a practical balance between physical representativeness, low parameter dependence and computational simplicity. The remaining discrepancies are mainly attributed to clamp compliance, screw preload uncertainty, possible intermittent contact inside the holder and the idealization of the support conditions. The predicted natural frequencies are finally used as inputs for a theoretical stability-lobe analysis of the \(L/D=5\) case.